Design the beam when the dimensions are known.

$h=27$ in$.$

$,$ Span length $=22ft$

$b=14$ in$.$

$f^{\text{'}}c=5000$ psi

$,$ Superimposed dead load $=1\frac{k}{f}t$

Service live load $=2\frac{k}{f}t$

Assume $d=h-2\mathrm{.}5$ in$.$